The value of a car depreciates in such a way that its value of the end of each year is 4/5 of its value of the beginning of the same year. If the value at the end of 3 years is Rs. 6,40,000, then initial value of the car (Rs) is _____

• ans is RS 12,50,000
  let initial value be P.
  then at the end of year we have = 4/5*(P)
  after 3 year we have = [4/5]^3 * P
  
  but its value is given after 3 year we have 640000.
  so
  (4/5)^3 * P = 640000
  P = 640000 * 5/4 * 5/4 * 5/4 = 12,50,000
• 4 years agoHelpfull: Yes(4) No(0)
• as we know it depreciates 4/5 every year
  Let total be x
  1]so after 1 year it becomes 4/5x .lets take 4/5x=y
  2]so after 2 year it becomes 4/5y.lets take 4/5y=z
  3]so after 3 year it becomes 4/5z
  now 4/5z640000
  so z=800000
  so obtain value of y as y=1000000
  now value of x=1250000
• 3 years agoHelpfull: Yes(0) No(0)
• initial value is 6,40,000
  depreciation is(4/5)^3
  6,40,000 x 64/125
  3,27,680
• 2 Months agoHelpfull: Yes(0) No(0)